The generator matrix

 1  0  0  1  1  1  1  1  9  1  1  1 15  1  1  1  1  3  1 24  1  1  1 12 18  0  1  1  1  1  1 12  1  1 24  1 21  9  1  1  1  1 18  1 12  1  1  3  1  6  1 24  1  1 21  1  1  1  1  1  1  1  1  6  1  1  1  0 12  1  1 21  0  1  1  1  1  1
 0  1  0 18  1 19 23 21  1  4  5 26  1  9 22  7 20  1 16  1 11 24 17  1  1 15 20  3 15  2 10  1 17  3  1  4  1  1  9 23  8  2  1 19 18 16  6  3 22  1 15  1  5 23  1 10 22  4  9 12 18 18 23 21 22  8 25  1 24  7 16  1  1 20 17  8 25 16
 0  0  1 16 25 18 17  8 22  5 22  6 20 21  7  9 23  0 14 13 10 26 11 14 12  1 12 25  0 15 24 17 13  4 12  2 25  2 14 12  7  8 15 19  1 17 25  1 22 19  6 14  2  7 20  2 18 19 10  9 20  8 15  1  6  8 13 23  1 20 25  5 26  2 18 10  7 21

generates a code of length 78 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+1130x^150+1668x^151+1398x^152+2276x^153+1908x^154+1086x^155+2116x^156+1626x^157+942x^158+1478x^159+1152x^160+522x^161+936x^162+606x^163+240x^164+392x^165+168x^166+24x^167+8x^168+6x^171

The gray image is a code over GF(3) with n=702, k=9 and d=450.
This code was found by Heurico 1.16 in 1.13 seconds.